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Finding the Fourth Proportional to 139,817.81, 209,335.94 and 75,545.73

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Solution

The fourth proportional to 139,817.81, 209,335.94 and 75,545.73 is: 113,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,817.81 : 209,335.94 = 75,545.73 : x
  2. Step 2: Convert to fraction form
    139,817.81/209,335.94 = 75,545.73/x
  3. Step 3: Cross multiply
    139,817.81x = 209,335.94 × 75,545.73
  4. Step 4: Simplify right side
    139,817.81x = 15,814,436,733.05
  5. Step 5: Solve for x
    x = 15,814,436,733.05/139,817.81
  6. Step 6: Final answer
    x = 113,107.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.